Let \( f(t) \) and \( g(t) \) represent continuous-time real-valued signals. If \( h(t) \) denotes the cross-correlation between \( f(t) \) and \( g(-t) \), its continuous-time Fourier transform \( H(j\omega) \) equals: Note: \( F(j\omega) \) and \( G(j\omega) \) denote the continuous-time Fourier transforms of \( f(t) \) and \( g(t) \), respectively.
Consider a carrier signal which is amplitude modulated by a single-tone sinusoidal message signal with a modulation index of 50%. If the carrier and one of the sidebands are suppressed in the modulated signal, the percentage of power saved (rounded off to one decimal place) is .
In the circuit shown in the figure, the transistors M1 and M2 are operating in saturation. The channel length modulation coefficients of both the transistors are non-zero. The transconductance of the MOSFETs M1 and M2 are \( g_{m1} \) and \( g_{m2} \), respectively, and the internal resistance of the MOSFETs M1 and M2 are \( r_{o1} \) and \( r_{o2} \), respectively. Ignoring the body effect, the ac small signal voltage gain \( \frac{\partial V_{\text{out}}}{\partial V_{\text{in}}} \) of the circuit is 
Here are two analogous groups, Group-I and Group-II, that list words in their decreasing order of intensity. Identify the missing word in Group-II.
Abuse \( \rightarrow \) Insult \( \rightarrow \) Ridicule
__________ \( \rightarrow \) Praise \( \rightarrow \) Appreciate
Eight students (P, Q, R, S, T, U, V, and W) are playing musical chairs. The figure indicates their order of position at the start of the game. They play the game by moving forward in a circle in the clockwise direction.
After the 1st round, the 4th student behind P leaves the game.
After the 2nd round, the 5th student behind Q leaves the game.
After the 3rd round, the 3rd student behind V leaves the game.
After the 4th round, the 4th student behind U leaves the game.
Who all are left in the game after the 4th round?

Consider a system represented by the block diagram shown below. Which of the following signal flow graphs represent(s) this system? Choose the correct option(s).
